Find the integral using an appropriate trigonometric substitution.


c.

Mathematics

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Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 4yi + yj + zk; C: the counter-clockwise path around the boundary of the ellipse  +  = 1

A. 160? B. -160 C. 40? D. -160?

Mathematics

Find the final discount date and the net payment date.Invoice date: Jan 7As of: Jan 17Terms: 2/15, n/30

A. Final discount: Feb 0 Payment due: Feb 15 B. Final discount: Jan 22 Payment due: Feb 6 C. Final discount: Feb 1 Payment due: Feb 16 D. Final discount: Feb 16 Payment due: Feb 1

Mathematics

Use the graph of the rational function f to identify x-values where either f(x) is undefined or ?

A. x = -3 or -2 B. x = -3 or 2 C. x = -3 D. x = 4

Mathematics

Find the volume of the sphere or the cylinder. Use ? = 3.14 when needed. Round to the nearest thousandth if necessary.A sphere with radius 4.0 cm.

A. 2143.573 cm3 B. 150.72 cm3 C. 66.987 cm3 D. 267.947 cm3

Mathematics